2545600 has 84 divisors (see below), whose sum is σ = 6582664. Its totient is φ = 967680.

The previous prime is 2545573. The next prime is 2545603. The reversal of 2545600 is 65452.

2545600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2545603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59179 + ... + 59221.

2^2545600 is an apocalyptic number.

2545600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291332).

2545600 is an abundant number, since it is smaller than the sum of its proper divisors (4037064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2545600 is a wasteful number, since it uses less digits than its factorization.

2545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 2545600 is about 1595.4936540143. The cubic root of 2545600 is about 136.5410969028.

The spelling of 2545600 in words is "two million, five hundred forty-five thousand, six hundred".